We review the Hopf algebra of the multiple polylogarithms and the symbol map, as well as
the construction of single valued multiple polylogarithms and discuss an algorithm for finding …

Feynman integrals are indispensable for precision calculations in quantum field theory. They
occur as soon as one goes beyond the leading order in perturbative quantum field theory …

We present the Higgs boson production cross section at Hadron colliders in the gluon fusion
production mode through N3LO in perturbative QCD. Specifically, we work in an effective …

Feynman diagrams constitute one of the essential ingredients for making precision
predictions for collider experiments. Yet, while the simplest Feynman diagrams can be …

We introduce a class of iterated integrals, defined through a set of linearly independent
integration kernels on elliptic curves. As a direct generalisation of multiple polylogarithms …

A bstract We compute the six-particle maximally-helicity-violating (MHV) and next-to-MHV
(NMHV) amplitudes in planar maximally supersymmetric Yang-Mills theory through seven …

A bstract We provide a comprehensive summary of concepts from Calabi-Yau motives
relevant to the computation of multi-loop Feynman integrals. From this we derive several …

We review the quantum spectral curve (QSC) formalism for the spectrum of anomalous
dimensions of 𝒩= 4 SYM, including its γ-deformation. Leaving aside its derivation, we …

A bstract We obtain generalised power series expansions for a family of planar two-loop
master integrals relevant for the QCD corrections to Higgs+ jet production, with phys-ical …

We argue that ℓ-loop Yangian-invariant fishnet integrals in two dimensions are connected to
a family of Calabi-Yau ℓ folds. The value of the integral can be computed from the periods of …